The value of the solution of expression is, x = 6
We have to give that,
An expression to simplify,
5x - 7 = 3x + 5
Now, Simplify the expression by combining like terms as,
5x - 7 = 3x + 5
Subtract 3x on both sides,
5x - 3x - 7 = 3x + 5 - 3x
2x - 7 = 5
Add 7 on both sides,
2x - 7 + 7 = 5 + 7
2x = 12
Divide 2 into both sides,
x = 12/2
x = 6
Therefore, the solution is, x = 6
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The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $25 item is $25.75, what is the total cost on a $60 item?
The total cost of a $60 item including a 3% sales tax, which has been derived from a $25 item that costs $25.75 after tax, is $61.80.
Explanation:
The total cost of an item including sales tax is directly proportional to its price.
This means that the sales tax is a constant ratio to its price.
For a $25 item, the total cost (including sales tax) is $25.75. Therefore, the sales tax is $0.75. The tax rate is consequently $0.75/$25 = 0.03 or 3%. Now, if you want to find the total cost of a $60 item, you will apply this tax rate to the price.Thus, the total cost including tax would be $60 + (3% of $60), or $60 + $1.80 = $61.80.
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What does the value of the GCF
represent?
The directions for mixing an insect spray say to use 1 1/2 ounces of chemical in each gallon of water. How many ounces of chemical should be mixed with 3 4/5 gallons of water? First, estimate the answer to the application problem. Then find the exact answer.
What are the coordinates of a point on the unit circle if the angle formed by the positive x-axis and the radius is 60?
What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?
Simplify this and show your work :
-2(x-3) = 5x+1
-2x +6 = 5x+1
subtract 5 x from each side
-7x+6 = 1
subtract 6 from each side
-7x = -5
divide both sides by -7
x = -5/-7 = 5/7
x = 5/7
solve x2-8+41=0 for x
Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agenr. The agent charged 25% commission. What are the net proceeds?
if you were to load 225 boxes onto a truck and the boxes are created with each crate containing 9 boxes how many crates would you need to load
The sum of two consecutive even integers is 138. Write an equation and solve
The two consecutive even integers that sum to 138 are 68 and 70. The equation n + (n + 2) = 138 was used to determine these integers.
Explanation:The problem is asking for two consecutive even integers whose sum is 138. Let's denote the first integer as n (where n is an even number). As the problem says the numbers are consecutive even integers, we know the next number must be n + 2.
We can form an equation based on the information given. The sum of these two integers is equal to 138, so:
n + (n + 2) = 138If we simplify the equation, it becomes:
2n + 2 = 138By subtracting 2 from both sides, 2n = 136We then divide both sides by 2 to get n = 68Therefore, the two consecutive numbers are 68 and 70 as they add up to 138.
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Which of the following fractions is an equivalent fraction in lowest terms to the fraction ? -276/-540
A. 23/45
B. -23/45
C. 69/135
D. -69/135
Question 11(Multiple Choice Worth 5 points) (09.03 MC) A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 55 75 Type B 48 22 Compare P(Male | Type A) with P(Male or Type A).
The solution would be like this for this specific problem:
[tex]\large P(F) \times P(B )= \frac {97} {200} \times \frac {70}{200} = \frac {97 \times 70} {200 \times 200} = 0.16975[/tex]
You need to compare the results of: P(female or type B) which is written in correct symbols as:
[tex]\large P (F\cup B) [/tex]
and P(female | given type B) which is written in correct symbols as:
[tex]\large P(FlB)
\large (F\cup B)=0.835 - 0.17 = 0.665
\large P (FlB) = 0.314
\large P (F \cup B) \ \textgreater \ P (F|B)[/tex]
So, the correct answer would be: P (Female or Type B) > P (Female | Type B).
Answer:
The answer is P(Female or Type B) > P(Female | Type B)
Step-by-step explanation:
Just took the test.
Also check if you want the answer for males or females before you choose because they are completely different questions
How do you change a ratio into a fraction baseballs to basketballs
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
A. 0.08V
B. 0.92V
C. 1.08V
D. V-0.08
Answer:
b
i ggot it right on test
14. Simplify (4x^– 4)^– 3.
can someone explain to me multi step algebra equations? 15 points Thaaaanks~
Final answer:
Multi-step algebra equations involve operations like addition, subtraction, multiplication, or division to solve for an unknown. These equations require simplifying terms, solving for unknowns, and checking the answers. Money examples and practice statements are useful for understanding these concepts.
Explanation:
Multi-step algebra equations are problems that require more than one operation, such as addition, subtraction, multiplication, or division, to solve for the unknown variable. The following steps are typically involved in solving these equations:
Eliminate terms wherever possible to simplify the algebra. This might involve combining like terms or canceling out terms on both sides of the equation.Solve the simultaneous equations for the unknowns. This can be done through methods such as substitution or elimination when dealing with more than one equation.Check the answer to ensure it fits the original equation. Substituting the solution back into the original equation can verify its correctness.An example of this process could be the following scenario: You are given two equations in a word problem involving motion, one equation for velocity and another for time. To find the distance traveled, you would identify the known variables and the unknown variable (in this case, distance), simplify both equations as much as possible, and then combine them to solve for distance.
Money examples are often used for educational purposes because they provide a familiar context for understanding mathematical principles, making them easier to grasp. Additionally, practicing with state-ments, such as covering up a number to solve for it with the remaining information, can help build problem-solving skills.
What is 35 divided by 768 plz I am really stuck on this one and need some improvement
The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green 3 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing green marbles in both the trials? plz help!!!!
In the diagram, PN is the perpendicular bisector of AB and is also the angle bisector of
Perry has an opportunity to put $2291 into an investment with an APR of 7.6%. How long will it take his investment to double?
How are midsegments of trapezoids and triangles alike? How are they different?
In both trapezoids and triangles, midsegments connect the midpoints of two sides. They are parallel to one side and their lengths are determined by the measurements of certain sides. The main difference lies in the number of midsegments each shape can have: a trapezoid can have only one, while a triangle can have three.
Explanation:In both trapezoids and triangles, a midsegment is a line segment that connects the midpoints of two sides. The similarity between these midsegments lies in their properties. In both cases, the midsegments are parallel to one of the sides of the figure (the base for the trapezoids and the third side for the triangles) and their length is equivalent to the average of the two bases in a trapezoid and half the length of the base in a triangle.
However, the main difference between midsegments of trapezoids and triangles is the number of such segments each figure can have. A trapezoid has only one midsegment, that connects the midpoints of the non-parallel sides, while a triangle can have up to three midsegments, one for each side of the triangle.
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a=one half bh solve for b
Teachers of two history classes bought tickets to go on a field trip to a local museum. Mr. Lowe paid $115 for 4 adult tickets and 20 student tickets. Mrs. Tucker paid $135.25 for 5 adult tickets and 23 student tickets. Fill in the missing information in the system of equations for the situation. 4a + As = 115 5a + 23s = B
Answer with Step-by-step explanation:
Let a represents the cost of one adult ticket
and s represents the cost of one student ticket
Mr. Lowe paid $115 for 4 adult tickets and 20 student tickets.
i.e. 4a+20s=115
Mrs. Tucker paid $135.25 for 5 adult tickets and 23 student tickets.
i.e. 5a+23s=135.25
We get system of equations:
4a+20s=115
5a+23s=135.25
On comparing the above system with
4a + As = 115
5a + 23s = B
We get
A=20
and B=135.25
Elixir of acetaminophen contains 160 my per 5 milliliters. How much acetaminophen is needed to prepare 2 ounces of elixir?
please help me!!!
The scale for the map of Missouri is 1 in = 30 mi. On the map, the distance from Springfield to Columbus is about 5.6 in. How far apart are the two cities? Round your answer to the nearest mile.
if 1 inch = 30 miles
thn multiply 30 x 5.6
30 x 5.6 = 168 miles apart
The actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi
To find the actual distance between Springfield and Columbia, we can use the scale provided in the map.
Given that 1 inch on the map represents 30 miles in real life, and the distance on the map from Springfield to Columbia is 5.6 inches, we can use the following calculation to find the actual distance:
[tex]\[ \text{Actual distance} = \text{Map distance} \times \text{Scale factor} \][/tex]
[tex]\[ \text{Actual distance} = 5.6 \, \text{inches} \times 30 \, \text{miles/inch} \][/tex]
[tex]\[ \text{Actual distance} = 168 \, \text{miles} \][/tex]
So, the actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi
solve these equations fast.
(6 + 3i)(6 − 3i) =
(4 − 5i)(4 + 5i) =
(−3 + 8i)(−3 − 8i) =
Answer:
The correct answers are 45,41,73
Step-by-step explanation:
Which expression is equivalent to the given expression? 100pts giveaway 3x(1.05) 3x + 3x + 3x 1.05x + 1.05x + 1.05x x + 3.15 1.05x + 3
Ineed help help me please
The primary goal of using correlational research is to
Correlational research is used to determine whether there's a relationship between two or more variables without establishing a cause-and-effect connection. It identifies how closely connected variables are by observing them as they naturally occur.
Explanation:The primary goal of using correlational research is to determine whether a relationship exists between two or more variables, but without establishing a cause-and-effect connection. In this method, a researcher may observe variables as they naturally occur with no intervention or manipulation. By examining the degree to which these variables move together, the researcher can identify how closely connected they are. For example, in psychological studies, a correlational research might be used to investigate the relationship between study habits and academic performance. However, it's critical to note that correlation does not imply causation.
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Find the area of a regular hexagon with apothem 2√3 mm. Round to the nearest whole number.